Properties

Label 2800j
Number of curves $1$
Conductor $2800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 2800j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.u1 2800j1 \([0, 1, 0, 7, -157]\) \(1024/343\) \(-10976000\) \([]\) \(384\) \(0.030070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2800j do not have complex multiplication.

Modular form 2800.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} - 2 q^{9} + q^{11} + q^{13} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display